English

Commensurability and arithmetic equivalence for orthogonal hypergeometric monodromy groups

Group Theory 2020-03-31 v1 Number Theory

Abstract

We compute invariants of quadratic forms associated to orthogonal hypergeometric groups of degree five. This allows us to determine some commensurabilities between these groups, as well as to say when some thin groups cannot be conjugate to each other.

Keywords

Cite

@article{arxiv.1612.04300,
  title  = {Commensurability and arithmetic equivalence for orthogonal hypergeometric monodromy groups},
  author = {Jitendra Bajpai and Sandip Singh and Scott Thomson},
  journal= {arXiv preprint arXiv:1612.04300},
  year   = {2020}
}

Comments

16 pages, 6 tables

R2 v1 2026-06-22T17:22:36.798Z